What is the answer to (x-2)/(x+3)=2 ?

The answer to (x-2)/(x+3)=2 is x=-8

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(x-2)/(x+3)=2

\frac{x - 2}{x + 3} = 2

x = - 8

Solution steps

\frac{x - 2}{x + 3} = 2

Multiply both sides by

x + 3

x - 2 = 2 (x + 3)

Expand

2 (x + 3) : 2 x + 6

x - 2 = 2 x + 6

Move

2

to the right side

x = 2 x + 8

Move

2 x

to the left side

- x = 8

Divide both sides by

- 1

x = - 8

Verify Solutions

Find undefined (singularity) points:

x = - 3

Combine undefined points with solutions:

x = - 8

x, a = \frac{c d}{x}

t + 3 + \frac{3}{t} = 0

\frac{8}{x + 7} = \frac{7}{x + 2}

y, x = \frac{4 y - 1}{2 y + 3}

y, s (y) = \frac{5 y}{y + 7}